Hi please use the given information to answer each part of the problem and please include a short explanation, drawing, or steps/formulas to improve my understanding of the problem. Please let me know if there's any questions, thank you!

Let the random variable N (v) be the number of stars in a region of space of volume V. Assume that N is a Poisson random variable with pmf n (m) 6"\" n! pN(v)(n)= , n=0,1,2,..., Where p is the \"density\" of stars in Space. Dene the random variable X to be the distance from the north star to its nearest neighbor star. Find the pdf of X